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Finding the Fourth Proportional to 86,700, 119,646 and 46,956

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Solution

The fourth proportional to 86,700, 119,646 and 46,956 is: 64,799.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,700 : 119,646 = 46,956 : x
  2. Step 2: Convert to fraction form
    86,700/119,646 = 46,956/x
  3. Step 3: Cross multiply
    86,700x = 119,646 × 46,956
  4. Step 4: Simplify right side
    86,700x = 5,618,097,576
  5. Step 5: Solve for x
    x = 5,618,097,576/86,700
  6. Step 6: Final answer
    x = 64,799.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.